About an even as the sum or the difference of two primes

Jamel Ghannouchi (1)

1 ESSTT - Ecole Supérieure des Sciences et Techniques [Tunis]

The present algebraic development begins by an exposition of the data of the problem. The definition of the primal radius is : For all positive integer exists a finite number of integers called the primal radius , for which and are prime numbers. The corollary is that is always the sum of a finite number of primes. Also, for all positive integer , exists an infinity of integers , for which and are prime numbers. The conclusion is that is always an infinity of differences of primes.

Mots clés: Goldbach; De Polignac; Twin primes; Algebraic proof

Domaines: Mathématiques générales [math.GM]

Jamel Ghannouchi. About an even as the sum or the difference of two primes. Bulletin of Mathematical Sciences and Applications, 2013, 2 (3), pp.44-52. ⟨hal-00862954v3⟩